Journal of Ocean Engineering and Technology (한국해양공학회지)

Korean Society of Ocean Engineers (한국해양공학회)
권호 표지

The Use of Hermite Cubic Element for Inviscid Convective Equations

비점성 대류 방정식의 계산을 위한 Hermite 3차 요소의 사용에 대한

  • 김진환 (동의대학교, 기계설계공학과)
  • Published : 1993.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

The use of Hermite cubic element, as a possible finite element computation of transport equations containing shocks, has been invesigated. In the present paper the hermite cubic elements are applied to both linear and nonlinear scalar one and two dimensional equations. In the one dimensional problems, numerical results by the hermite cubic element show better than those by the linear element, and the steady state solution by the hermite cubic element yields result with good resolution. This fact proves the superiority of the hermite cubic element in space differencing. In two dimensional case, the results by the hermite cubic element shows a boundary instability, and the use of higher order time differencing method may be necessary for fixing the problem.

Keywords

References

  1. Finite Element Methods for Nonlinear Problems Analysis on a Taylor Weak Statement for CFD Application Baker,A.J.;Kim,J.W.
  2. Int. J. Num. Mtd. in Fluid v.7 A Taylor Weak Statement for Hyperbolic Conservation Laws Baker,A.J.;Kim,J.W.
  3. Finite Elements in Fluids v.7 On a Finite Element CFD Algorithm for Compressible, Viscous and Turbulent Aerodynamic flows Baker,A.J.;Kim,J.W.;Freels,J.D.;Orzechowski,J.A.
  4. SIAM J. Numer. Anal. v.11 Two methods of Galerkin type optimun L-2 rates of Convergence for First Order Hyperbolics Dendy,J.E.
  5. Int. J. Num. Mtd. Eng. v.20 A Taylor-Galerkin method for Convective transport problems Donea,J.
  6. AIAA J. v.17 Artificial Compressibility methods for Numerical Solution of Transonic Full Potential Equation Hafez,M.M.;South,J.C.;Murman,E.M.
  7. J. Comp. Phys. v.49 High Resolution Schemes for hyperbolic Conservation Laws Harten,A.
  8. AMD v.34 A Multidimensional Upwind Scheme with no Crosswind diffusion Hughes,T.J.R.;Brooks,A.
  9. An Adaptive h-p Finite Element Strategy for Two dimensional Boundary Value Problems : Theory manual L.Demkowicz
  10. Comp. Mtd. in Appl. Mech, and Eng. v.88 An h-p Taylor-Galerkin finite element method for compressible Euler Equations L.Demkowicz;J.T.Oden;W.Rachowicz;O.Hardy
  11. Comp. Mtd. in Appl. Mech. and End. v.88 The ULTIMATE conservative difference scheme applied to unsteady onedimensional advection B.P.Leonard
  12. Numerical Solution of Partial Differential Equations in Science and Engineering L.Lapidus;G.F.Pinder